In [1]} the \(\bar{h}\) -cofibrations are called strong cofibrations
and the following alternative characterization of them is given: a morphism \(f\colon X\rightarrow Y\)  is an
\(\bar{h}\) -cofibration if and only if it has the RLP (right lifting property) with respect to all
\(h\) -fibrations which are also \(h\) -equivalences — i.e. the \(h\) -acyclic \(h\) -fibrations.
When \({C}= {K}\) , the class of strong cofibrations equals the class of closed cofibrations.
Under suitable hypotheses on \({C}\)  (see Theorem 4.2 of [2]} and Theorem 4.2.12 of
[3]}) these three classes of morphisms equip \({C}\)  with the structure of a proper, topological model category.
This model structure is sometimes called the \(h\) -model structure.
